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Unformatted text preview: s will need to switch direction here. 4>x³ 4
3 So, there is the inequality form of the solution. We will need to be careful with the interval
© 2007 Paul Dawkins 126 http://tutorial.math.lamar.edu/terms.aspx College Algebra æ
è 4ù notation for the solution. First, the interval notation is NOT ç 4,  ú . Remember that in
3 û interval notation the smaller number must always go on the left side! Therefore, the correct é4
ë3 ö
ø interval notation for the solution is ê  , 4 ÷ .
Note as well that this does match up with the inequality form of the solution as well. The
inequality is telling us that x is any number between 4 and  4
4
or possibly  itself and this is
3
3 exactly what the interval notation is telling us.
Also, the inequality could be flipped around to get the smaller number on the left if we’d like to.
Here is that form,  4
£x<4
3 When doing this make sure to correctly deal with the inequalities as well.
[Return to Problems] (c) 14 < 7 ( 3 x + 2 ) < 1...
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 Spring '12
 MrVinh

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